Antipersistent energy current correlations in strong long-ranged Fermi-Pasta-Ulam-Tsingou type models
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929285755830272 |
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| author | Xiong, Daxing Wang, Jianjin |
| author_facet | Xiong, Daxing Wang, Jianjin |
| contents | We study heat transfer in one-dimensional Fermi-Pasta-Ulam-Tsingou type systems with long-range (LR) interactions. The strength of the LR interaction between two lattice sites decays as a power $σ$ of the inverse of their distance. We focus on the strong LR regime ($0\leq σ\leq1$) and show that the thermal transport behaviors are remarkably nuanced. Specifically, we observe that the antipersistent (negative) energy current correlation in this regime is intricately dependent on $σ$, displaying a nonmonotonic variation. Notably, a significant qualitative change occurs at $σ_c=0.5$, where with respect to other $σ$ values, the correlation shows a minimum negative value. Furthermore, our findings also demonstrate that within the long-time range considered, these antipersistent correlations will eventually vanish for certain $σ>0.5$. The underlying mechanisms behind these intriguing phenomena are related to the crossover of two diverse space-time scaling properties of equilibrium heat correlations and the various scattering processes of phonons and discrete breathers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09213 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Antipersistent energy current correlations in strong long-ranged Fermi-Pasta-Ulam-Tsingou type models Xiong, Daxing Wang, Jianjin Statistical Mechanics Chaotic Dynamics We study heat transfer in one-dimensional Fermi-Pasta-Ulam-Tsingou type systems with long-range (LR) interactions. The strength of the LR interaction between two lattice sites decays as a power $σ$ of the inverse of their distance. We focus on the strong LR regime ($0\leq σ\leq1$) and show that the thermal transport behaviors are remarkably nuanced. Specifically, we observe that the antipersistent (negative) energy current correlation in this regime is intricately dependent on $σ$, displaying a nonmonotonic variation. Notably, a significant qualitative change occurs at $σ_c=0.5$, where with respect to other $σ$ values, the correlation shows a minimum negative value. Furthermore, our findings also demonstrate that within the long-time range considered, these antipersistent correlations will eventually vanish for certain $σ>0.5$. The underlying mechanisms behind these intriguing phenomena are related to the crossover of two diverse space-time scaling properties of equilibrium heat correlations and the various scattering processes of phonons and discrete breathers. |
| title | Antipersistent energy current correlations in strong long-ranged Fermi-Pasta-Ulam-Tsingou type models |
| topic | Statistical Mechanics Chaotic Dynamics |
| url | https://arxiv.org/abs/2401.09213 |